Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains

被引：8

作者：

Chernih, A. ^{[1
]}

Le Gia, Q. T. ^{[1
]}

机构：

[1] Univ New South Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2016年 / 42卷 / 05期

基金：

澳大利亚研究理事会;

关键词：

Radial basis functions; Compact support; Smoothness; Wendland functions; SCATTERED DATA INTERPOLATION; DIVERGENCE-FREE; APPROXIMATION; COLLOCATION; SPACES; PDES;

D O I：

10.1007/s10444-016-9458-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the application of radial basis functions (RBFs) for the approximation with collocation of the Stokes problem. The approximate solution is constructed in a multi-level fashion, each level using compactly supported radial basis functions with decreasing scaling factors. We use symmetric collocation and give sufficient conditions for convergence and consider stability analysis. Numerical experiments support the theoretical results.

引用

页码：1187 / 1208

页数：22

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